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Finding the Third Proportional to 119,761 and 199,592

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Solution

The third proportional to 119,761 and 199,592 is: 332,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,761 : 199,592 = 199,592 : x
  2. Step 2: Convert to fraction form
    119,761/199,592 = 199,592/x
  3. Step 3: Cross multiply
    119,761x = 199,592 × 199,592
  4. Step 4: Simplify right side
    119,761x = 39,836,966,464
  5. Step 5: Solve for x
    x = 39,836,966,464/119,761
  6. Step 6: Final answer
    x = 332,637.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.